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Finding the Fourth Proportional to 399.79, 596.10 and 392.50

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Solution

The fourth proportional to 399.79, 596.10 and 392.50 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.79 : 596.10 = 392.50 : x
  2. Step 2: Convert to fraction form
    399.79/596.10 = 392.50/x
  3. Step 3: Cross multiply
    399.79x = 596.10 × 392.50
  4. Step 4: Simplify right side
    399.79x = 233,969.25
  5. Step 5: Solve for x
    x = 233,969.25/399.79
  6. Step 6: Final answer
    x = 585.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.